Let's analyze the graph and answer the question about the end behavior of $f(x)$.

From the graph:

1. As $x \to \infty$ (moving right): The graph rises upwards, meaning $f(x) \to \infty$.
2. As $x \to -\infty$ (moving left): The graph also rises upwards, meaning $f(x) \to \infty$.

Thus, the correct end behavior is:

• As $x \to \infty$, $f(x) \to \infty$
• As $x \to -\infty$, $f(x) \to \infty$

Therefore, the correct answer is:

• Option 1: "As $x \to \infty$, $f(x) \to \infty$ and as $x \to -\infty$, $f(x) \to \infty$."

Would you like more details on this? Here are some related questions:

1. What are the general rules for determining end behavior from a polynomial's degree?
2. How does the leading term of a polynomial influence the end behavior?
3. How does end behavior relate to even and odd degree polynomials?
4. Can the end behavior of a graph change based on transformations like reflections?
5. How can we verify the end behavior algebraically for a given function?

Tip: When analyzing end behavior, focus on how the graph behaves as $x$ approaches positive and negative infinity.